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Finding the Fourth Proportional to 99,809.91, 137,765.48 and 57,382.11

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Solution

The fourth proportional to 99,809.91, 137,765.48 and 57,382.11 is: 79,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.91 : 137,765.48 = 57,382.11 : x
  2. Step 2: Convert to fraction form
    99,809.91/137,765.48 = 57,382.11/x
  3. Step 3: Cross multiply
    99,809.91x = 137,765.48 × 57,382.11
  4. Step 4: Simplify right side
    99,809.91x = 7,905,273,640.65
  5. Step 5: Solve for x
    x = 7,905,273,640.65/99,809.91
  6. Step 6: Final answer
    x = 79,203.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.